Which is a better deal?
An ice company charged $6.02 for 7 bags of ice. If a
convenience store sold 6 bags of ice for $5.52, which is a
better buy?
Explain/Justify your answer
Answers
Answer:
The $6.03 for 7 bags of ice is a better deal
Step-by-step explanation:
In order to find out which is a better deal we find the unit price.
To find the unit price we do the cost divided by how many bags of ice.
6.02 divided by 7 = 0.86, so the unit price is 0.86/1
5.52 divided by 6 = 0.92, so the unit price is 0.92/1
Finally, we can see which has a lower unit price which is the $6.03 for 7 bags of ice
Related Questions
Two trains leave Evas station 70 minutes apart. Train X leaves first at 1:15 pm and heads west at a speed of 106 km/h. Train Y leaves later and travels directly north at a speed of 128 km/h.
a) How far apart are these trains (along a hypotenuse) at 4:05 pm?
b) If Train Y has an unplanned stop that lasts 24 minutes, how far apart should these two trains be at 5:50 pm?
c) If both trains turn around and head back to Evas station, with Train X travelling at a new average speed of 142 km/h, which one will arrive first? Show your work and explain your thinking.
Answers
Train X is 374.39 km far apart from train Y (along the hypotenuse) at 4:05 pm and 627.009 km far apart (along the hypotenuse) at 5:50 pm.
Define hypotenuseIt goes without saying that the side opposite the right angle is the hypotenuse of a right triangle. This side of a right triangle is the longest.
given: Train X travels at a speed = 106 km/h
Train X started moving on 1:15
Train Y travels at a speed = 124 km/h
Train Y started moving on 2:25 pm
a) Time taken by train X = 2 h 15 min = 2.83 h
Speed = 106 km/h
Distance = speed * time
Distance = 106 * 2.83
Distance travelled by train X towards west is 299.98 km.
Time taken by train Y = 1 h 45 min = 1.75 h
Speed = 128 km
Distance = speed * time
Distance = 128 * 1.75
Distance travelled by train Y towards north is 224 km.
By using Pythagoras theorem,
(299.98)² + (224)² = hypotenuse²
89988 + 50176 = hypotenuse²
Hypotenuse = 140164 = 374.39
Therefore, distance between train X and train Y at 4:05 pm along hypotenuse is 374.39 km.
b) Time taken by train X = 1 h 45 min = 1.75 h
Speed = 106 km/h
Distance = speed * time
Distance = 106 * 1.75
Distance travelled by train X is 185.5 km.
Total distance travelled by X = 299.98 + 185.5 = 485.48 km
Time taken by train Y = 1 h 21 min = 1.35 h
Speed = 128 km
Distance = speed * time
Distance = 128 * 1.35
Distance travelled by train Y is 172.8 km
Total distance travelled by Y = 224 + 172.8 = 396.8 km
By using Pythagoras theorem,
(485.48)² + (396.8)² = hyopotenuse²
235690.84 + 157450.24 = hypotenuse²
393141.08 = hypotenuse²
Hypotenuse = 627.009
Distance between train X and train Y at 5:50pm is 627.009 km.
c) Distance of train X from Evas station = 485.48km
Speed = 142 km/h
Time taken = distance / speed
Time taken = 485.48 / 142
Time taken by train X to reach station is 3.42 h
Distance of train Y from Evas station = 396.8 km
Speed = 128 km/h
Time taken = distance / speed
Time taken = 396.8 / 128
Time taken by train Y to reach station is 3.1 h
Therefore, train Y will arrive station first.
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Marbles, and 4 green marbles. The second bag contains 3 red marbles,2 blue marbles, and 4 green marbles. Aakesh will randomly select one marble from each bag. What is the probability that Aakesh will select a blue marble from each bag ?
Answers
The probability that Aakesh will select a blue marble from each bag is 4/45.
To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.
Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:
P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag
P(Blue from first bag) = 2 / 5
Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:
P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag
P(Blue from second bag) = 2 / 9
To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:
P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)
P(Blue from both bags) = (2 / 5) * (2 / 9)
P(Blue from both bags) = 4 / 45.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer:
C
Step-by-step explanation:
cot²θ = 1/tan²θ
plug this in to get
1/(1/tan²θ + 1)
1/tan²θ + 1 = 1/tan²θ + tan²θ/tan²θ = (1+tan²θ)/tan²θ
we then have
1/((1+tan²θ)/tan²θ)
1/(x/y) = y/x, so this is equal to
tan²θ/(1+tan²θ)
tan²θ = sin²θ/cos²θ, so plug this in to get
(sin²θ/cos²θ)/(1+sin²θ/cos²θ)
1+sin²θ/cos²θ = cos²θ/cos²θ + sin²θ/cos²θ
sin²θ + cos²θ = 1, so we have
(cos²θ+sin²θ)/cos²θ = 1/cos²θ. plug this in to get
(sin²θ/cos²θ)/(1/cos²θ)
(a/b)/(c/d) = (d/c) * (a/b), so we have
(sin²θ/cos²θ)/(1/cos²θ) = cos²θ/1 * sin²θ/cos²θ = sin²θ
Which of the following explicit equations represents the sequences -5,10,20,40 EXPLAIN PLSS
Answers
we have the sequence
5,10,20,40,...
so
a1=5 ----> first term
a2=10
a3=20
a4=40
a2/a1=10/5=2
a3/a2=20/10=2
a4/a3=40/20=2
we have a geometric sequence with a common ratio r=2
the equation is of the form
\(r(n)=a_1\cdot r^{(n-1)}\)substitute given values
\(\begin{gathered} r(n)=5\cdot2^{(n-1)} \\ r(n)=5\cdot2^n\cdot2^{-1} \\ r(n)=5\cdot2^n\cdot\frac{1}{2} \\ r(n)=2.5\cdot2^n^{} \end{gathered}\)the answer is the first optionWhat is 3(x+4)-1=7 explain this to me please
Answers
x = - 4/3
Step-by-step explanation:
3(x + 4) - 1 = 7
3x + 12 - 1 = 7
3x + 12 = 8
3x = -4
x = -4/3
3x+12-1=7
2.combine like terms
3x+11=7
3. isolate variable (subtract 11 from both sides)
3x=-4
4. cancel out variable by dividing both sides by 3
3x/3=x -4/3=-1.333…
x=-about 1.333
Classify the following into monomials, binomial and trinomials.
(i)-6
(ii) -5 + x
(iii) 32x-y
(iv) 6x² + 5x - 3
(v) z² +2
Answers
Answers
monomialbinomialbinomialtrinomialbinomialHope you could understand.
If you have any query, feel free to ask.
Rotation 90° clockwise about the origin
N
O
G
Answers
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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The average rate of growth for human hair is about 0.3 millimeters per day. How many days will it take a hair that is 12 millimeters long to grow to be 16.5 millimeters?
Answers
It will take 15 days for the hair to grow from 12mm to 16.5mm
What do you mean by average rate?By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.
Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):
16.5mm - 12mm = 4.5mm
Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:
4.5mm ÷ 0.3mm/day = 15 days
Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.
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A bicyclist at White’s 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles?
Answers
Answer:
280 minutes.
Step-by-step explanation:
112/14=8
8*35=280
40 POINTS Geometry homework
Answers
\(\angle{DBC }\)=(5x+4)°
\(\angle{ A }\)=(2x-2)°
\(\angle{C }\)=(4x-6)°
we know that,
\(\angle{DBC}\)=\(\angle{A}\)+\(\angle{C}\)
According to the question,
\(\tt{ 5x+4=2x-2+4x-6 }\)
\(\tt{ 5x+4=6x-8 }\)
\(\tt{ 6x-5x=4+8 }\)
\(\blue{x=12 }\)
so,
\(\angle{C }\)=(4x-6)°=(4×12-6)°=(48-6)°=42°
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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Four different exponential functions are represented below.
Drag the representation of each function into order from greatest y-intercept to least y-
intercept.
Answers
The graph of the function y = 2x⁴ - 5x³ + x² - 2x + 4 is plotted and attached.
How to solve
We have the 4 functions as shown in the image attached.
The y - intercept is the point where the graph intercepts the y - axis.
Function [1] -
y = 4 + 2x
y - intercept is 4
Function [2] -
y = 5ˣ + 1
y - intercept is 2.
Function [3] -
the y-intercept is 1.
Function [4] -
the y - intercept is at -1.
Therefore, the greatest y-intercept is of function -
f(x) = 2x + 4
and the least y-intercept is of the function shown in graph [4] or function [4].
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Answer:
Carlos puts $3 into his bank account and it grows by 50% each year
f(x)=4^x+1
(The Table)
(The Graph)
if i buy 300 shirt for 7,200 but sell them for 30 dollars each what will be the percent markup
Answers
Answer:
Well if you are paying a total of $7,200 for 300 shirts that would make each shirt $24 each meaning you are selling them for $6 more making it a 20-25% markup.
Step-by-step explanation:
1 is subtracted from 8 times a certain number.the result is 15.find the number
Answers
Answer:
number is 2
Step-by-step explanation:
let the number be n then 8 times the number is 8n, subtract 1 from this and
8n - 1 = 15 ( add 1 to both sides )
8n = 16 ( divide both sides by 8 )
n = 2
that is the number is 2
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
12
Step-by-step explanation:
Which function has the following domain and range?
Domian {-12, -7, 0, 4, 12}
Range { 0, 1, 2}
A) {(-12, 12), (0,2)}
B) (0,4), (2,12), (1,-7), (0,-12), (1,0)}
C) {(-12,0), (-7,1), (0,2), (-4,5), (3,-1)}
D) {(4,1), (-7,0), (12,2), (0,0), (-12,1)}
Answers
D. The function {(4,1), (-7,0), (-12,2), (0,0), (-12,1)} has the given domain {-12, -7, 0, 4, 12} and range { 0, 1, 2}.
What is domain and range ?The domain is the set of all inputs which has an output or range.The range of a function is the set of all outputs form which the domain is defied.
According to the given question domain and range of a function are given they are { -12, -7, 0, 4, 12 } and { 0, 1, 2 }.
This can be written an an ordered pair as { (-12,0), (-12,1), (-12,2), (-7,0), (-7,1), (-7,2), (0,0), (0,1), (0,2), (4,0), (4,1), (4,2), (12,0), (12,1), (12,2) }.
From the given options we can observe that in option D. which has ordered pairs { (4,1), (-7,0), (-12,2), (0,0), (-12,1) }.
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Hello, I need help with this! Both of these, equation and table!
Answers
Explanation:
In each case, the problem statement tells you that cost depends on something. The dependent variable is cost. The independent variable is the quantity of that something. You can assign variables in the traditional way: let y = cost; let x = the quantity that costs. Or, you can assign more meaningful letters/names for the variables: let c = cost; let h = hours; let p = number of persons in the car.
The total cost in each case consists of a base cost that does not depend on hours or persons, and a per-unit cost that does. The latter is multiplied by the quantity and added to the former to give you your equation.
1.Variables: let c = cost in dollars; let h = hours
Equation: c = 2h +3 . . . . $3 is the base cost (for safety equipment); $2 is the per-hour cost.
Table: a few ordered pairs are ...
(h, c) = (0, 3), (1, 5), (2, 7), (3, 9)
__
2.Variables: let c = cost in dollars; let p = number of persons in the car
Equation: c = 2h +4 . . . . $4 is the base cost; $2 is the cost per person
Table: a few ordered pairs are ...
(p, c) = (1, 6), (2, 8), (3, 10), (4, 12)
Plz help me well mark brainliest!….
Answers
A salesman sold 50 shirts in the month if November thereby achieving only 40% of his target. Find out what what was his sales target
Answers
By using Percentage ,125 shirts was his sales target .
What is in a percentage?
A figure or ratio that reflects a fraction of 100 is known as a percentage in mathematics. In addition to ratios, fractions, and decimals, it is one of the ways to depict a dimensionless connection between two numbers.
The symbol "%" is frequently written after the number to indicate percentages. By dividing the value by the sum of the values, and then multiplying the outcome by 100, one can get the percentage. (Value/Total Value)100% is the percentage calculation formula.
40% = 50 shirts
1 % = 50/40 shirts
100% = (50/40) * 10
= 125 shirts
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Write the English phrase as an algebraic expression. Let the variable X represent the number
The sum of 15 divided by a number and that number divided by 15.
The expression is: ???
Answers
Answer:
(15 ÷ n) + (n ÷ 15)
Step-by-step explanation:
The sum of 15 divided by a number and that number divided by 15.
15 divided by a number
= (15 ÷ n)
15 is being divided by an unknown number (put n as a variable)
that number divided by 15
= (n ÷ 15)
An unknown number (put n as a variable) is being divided by 15.
The sum
Add (15 ÷ n) and (n ÷ 15)
(15 ÷ n) + (n ÷ 15)
Hope this helped and have a lovely rest of your day! :)
Checkpoint 4 is -117 and checkpoint 3 is -212 how much higher is checkpoint 4 than 3
Answers
Answer:4 = -117,3=-212,4+3
Step-by-step explanation:
The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry
Answers
The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.
To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:
1. Bank Statement Balance:
Cash on deposit at July 31: Br.4,964.47
2. Adjusted Bank Balance:
Bank Statement Balance: Br.4,964.47
3. Deposit not on the statement: + Br.410.90
(Adjusted Bank Balance: Br.5,375.37)
Erroneously charged check: + Br.79
(Adjusted Bank Balance: Br.5,454.37)
Outstanding checks:
Check 801: - Br.100.00
Check 888: - Br.10.25
Check 890: - Br.294.50
Check 891: - Br.205.00
(Adjusted Bank Balance: Br.4,844.62)
4. Incorrectly charged check: + Br.90
(Adjusted Bank Balance: Br.4,934.62)
5. Collection of interest-bearing note: + Br.500
(Adjusted Bank Balance: Br.5,434.62)
6. Interest earned: + Br.24.75
(Adjusted Bank Balance: Br.5,459.37)
7. Incorrectly recorded check: - Br.90
(Adjusted Bank Balance: Br.5,369.37)
8. Collection fee: - Br.5.00
(Adjusted Bank Balance: Br.5,364.37)
9. NSF check: - Br.50.25
(Adjusted Bank Balance: Br.5,314.12)
10. Service charge: - Br.12.70
(Adjusted Bank Balance: Br.5,301.42)
Adjusted Ledger Balance:
Bank Balance in ABC's Ledger: Br.4,173.83
Reconciled Bank Balance: Br.5,301.42
Reconciled Ledger Balance: Br.4,173.83
Journal Entry:
To record the bank reconciliation, we make the following journal entry:
Debit: Cash (Ledger Balance adjustment) - Br.5,301.42
Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47
Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)
This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.
The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.
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Need help with this math
Answers
Answer:
The rate of change would be 4.
Step-by-step explanation:
Every # increases by four except the one in between 1 and -1. that one increases by 8 but the rate of change would be four.
Please help me with this question.
Answers
By integration by parts, the integral ∫ 4 · x · e³ˣ dx = (4 / 3) · x · e³ˣ - ∫ (4 / 3) · e³ˣ dx is an alternative form of integral ∫ 4 · x · e³ˣ dx. (Correct choice: A)
How to define an integral by means of integration by parts
Herein we find the case of an integral of a product of two functions that cannot be integrated by means of a single integral and algebraic substitution, this can be found alternatively by definition of integration by parts:
∫ u dv = u · v - ∫v du
First, define functions u and dv:
u = 4 · x
dv = e³ˣ dx
Second, find functions du and v:
du = 4 dx
v = (1 / 3) · e³ˣ
Third, find the alternative integral equation:
∫ 4 · x · e³ˣ dx = (4 / 3) · x · e³ˣ - ∫ (4 / 3) · e³ˣ dx
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I need help please : )
Answers
Answer:
i think the answer is 10x^3-12^2-198x-40
A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
Answers
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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The sum of 5 and twice a number
Answers
Answer:
The answer is 2(5 + n)
During halftime of a football game, a sling shot launches T-shirts at the crowd A T-shirt is launched from a height of 6 feet with an initial upward velocity of 72 feet per second Use the
equation h(t) = -16 +72t+6, where t is time in seconds and h(t) is height. How long will it take the T-shirt to reach its maximum height? What is the maximum height?
Answers
Answer:
Hope this helps ;)
Step-by-step explanation:
To find the time it takes the T-shirt to reach its maximum height, we need to find the value of t when the velocity of the T-shirt is zero, because at this point the T-shirt has reached its maximum height and starts falling back down. We can find the velocity of the T-shirt by taking the derivative of the height equation with respect to time:
v(t) = h'(t) = 72
The velocity of the T-shirt is a constant 72 feet per second, so it will never reach a velocity of zero and will never reach its maximum height. The T-shirt will keep going up indefinitely.
If the problem had specified that the T-shirt was launched with an initial upward velocity of -72 feet per second (meaning it was launched downward), then we could have found the time it takes the T-shirt to reach its maximum height by setting v(t) = 0 and solving for t. In this case, we would find that t = 1, so it would take the T-shirt 1 second to reach its maximum height. The maximum height would be h(1) = -16 + 72(1) + 6 = 62 feet.
help fast please.........................
Answers
The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)
What are angles on parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;
They can be;
supplementary
alternate exterior
alternate interior
vertically opposite
and corresponding
The property between angle 3 and angle 6 is that they are alternate interior to each other.
Therefore angle 3 and angle 6 are alternate interior angles.
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Solve for x 5x - 10 = -10
Answers
Answer:
the answer is x = 0
Step-by-step explanation:
Cancel equal terms on both sides of the equation:
\(5x = 0\)
Divide both side of the equation by 5.
\(x = 0\)
Therefore, the answer is x = 0
Answer:
5x - 10 = -10
+10 +10
5x = 0
divide by 5 on both sides:
x = 0